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تسجيل مستخدم جديدTwo-bubble nodal solutions for slightly subcritical Fractional Laplacian
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In this paper, we consider the existence of nodal solutions with two bubbles to the slightly subcritical problem with the fractional Laplacian begin{equation*} left{aligned &(-Delta)^su=|u|^{p-1-varepsilon}u mbox{in} Omega &u=0 mbox{on} partialOmega, endaligned right. end{equation*} where $Omega$ is a smooth bounded domain in $mathbb R^N$, $N>2s$, $0<s<1$, $ p=frac{N+2s}{N-2s}$ and $varepsilon>0$ is a small parameter, which can be seen as a nonlocal analog of the results of Bartsch, Micheletti and Pistoia (2006) cite{Bartsch1}.
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